In the reaction: Mg3N2(s) → __Mg(s) + N2(g)

a) the coefficient in front of the product magnesium is 2.
b) the coefficient in front of the product magnesium is 3.
c) the subscript with nitrogen gas is 3.
d) the equation is balanced as written.

Thank you!! I'm so not a science person. I read the problem wrong 🤦‍♀️ thank you though!!

Mg3N2(s) → 3Mg(s) + N2(g)

Isn't it obvious? Balancing equations means making the number on the left equal the number on the right. There are 3 Mg on the left; therefore, there must be 3 on the right.

To determine the correct answer, we need to balance the given chemical equation.

Mg3N2(s) → __Mg(s) + N2(g)

First, we count the number of each type of atom on both sides of the equation.

On the left side (reactant side):
- Magnesium (Mg): 3 atoms
- Nitrogen (N): 2 atoms

On the right side (product side):
- Magnesium (Mg): 1 atom
- Nitrogen (N): 2 atoms

Since the number of magnesium atoms is different on both sides, we need to balance them. To do this, we can multiply the product side by 3 to match the coefficient of magnesium on the reactant side.

Mg3N2(s) → 3Mg(s) + N2(g)

Now, the equation is balanced with a coefficient of 3 in front of magnesium (product side). Therefore, the correct answer is (b) the coefficient in front of the product magnesium is 3.

To determine the correct answer, we need to verify if the given chemical equation is balanced.

To balance a chemical equation, we need to make sure that the number of atoms of each element is the same on both sides of the equation. Let's count the atoms of each element in the given equation:

On the left side (reactants):
- Magnesium (Mg): 3 atoms
- Nitrogen (N): 2 atoms

On the right side (products):
- Magnesium (Mg): 1 atom
- Nitrogen (N): 2 atoms

As we can see, the number of magnesium atoms is different on both sides. Therefore, the equation is not balanced.

Looking at the options given:
a) The coefficient in front of the product magnesium is 2. (Incorrect because the equation is not balanced, so this cannot be the correct answer.)
b) The coefficient in front of the product magnesium is 3. (Incorrect because the equation is not balanced, so this cannot be the correct answer.)
c) The subscript with nitrogen gas is 3. (Incorrect because there is no subscript with nitrogen gas in the given equation.)
d) The equation is balanced as written. (Incorrect because, as mentioned before, the equation is not balanced.)

Therefore, none of the options provided is correct.